A stabilised finite element method for the plate obstacle problem

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A stabilised finite element method for the plate obstacle problem. / Gustafsson, Tom; Stenberg, Rolf; Videman, Juha.

In: BIT Numerical Mathematics, 21.09.2018.

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@article{efd8854a824740a29432b36c098bca39,
title = "A stabilised finite element method for the plate obstacle problem",
abstract = "We introduce a stabilised finite element formulation for the Kirchhoff plate obstacle problem and derive both a priori and residual-based a posteriori error estimates using conforming C1-continuous finite elements. We implement the method as a Nitsche-type scheme and give numerical evidence for its effectiveness in the case of an elastic and a rigid obstacle.",
keywords = "A posteriori estimate, Kirchhoff plate, Nitsche’s method, Obstacle problem, Stabilised FEM",
author = "Tom Gustafsson and Rolf Stenberg and Juha Videman",
year = "2018",
month = "9",
day = "21",
doi = "10.1007/s10543-018-0728-7",
language = "English",
journal = "BIT - Numerical Mathematics",
issn = "0006-3835",
publisher = "Springer Netherlands",

}

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TY - JOUR

T1 - A stabilised finite element method for the plate obstacle problem

AU - Gustafsson, Tom

AU - Stenberg, Rolf

AU - Videman, Juha

PY - 2018/9/21

Y1 - 2018/9/21

N2 - We introduce a stabilised finite element formulation for the Kirchhoff plate obstacle problem and derive both a priori and residual-based a posteriori error estimates using conforming C1-continuous finite elements. We implement the method as a Nitsche-type scheme and give numerical evidence for its effectiveness in the case of an elastic and a rigid obstacle.

AB - We introduce a stabilised finite element formulation for the Kirchhoff plate obstacle problem and derive both a priori and residual-based a posteriori error estimates using conforming C1-continuous finite elements. We implement the method as a Nitsche-type scheme and give numerical evidence for its effectiveness in the case of an elastic and a rigid obstacle.

KW - A posteriori estimate

KW - Kirchhoff plate

KW - Nitsche’s method

KW - Obstacle problem

KW - Stabilised FEM

UR - http://www.scopus.com/inward/record.url?scp=85053780246&partnerID=8YFLogxK

U2 - 10.1007/s10543-018-0728-7

DO - 10.1007/s10543-018-0728-7

M3 - Article

JO - BIT - Numerical Mathematics

JF - BIT - Numerical Mathematics

SN - 0006-3835

ER -

ID: 29744109